三维实体模型相同性判别方法

An Equality Checking Approach for 3D Solid Models

首先利用几何拓扑元素类型与数量等不变量进行相似判断;然后利用质心处的主惯性方向确定的坐标系对模型进行位姿校准,并对顶点和面进行匹配关联;最后对模型中各类组成几何拓扑元素进行相同比较.该方法适合对以平面和二次曲面为表面边界的常见机械零件的相同性比较,实验表明效果较好.

An equality checking approach for 3D solid models is presented. In this approach, first, invariants like types and numbers of geometric and topological elements in the models are compared to exclude dissimilar parts. Second, the residual parts are transformed to the same position and orientation coincident to their inertia coordinate systems. Then, the equalities of the models＇ elements are checked. This method is proved to be valid and efficient for counting mechanical parts with boundaries composed of planes and quadratic surfaces.